A pair of bevel gears is mounted on two intersecting shafts who have a shaft angle of 80°. The gear ratio of the gears is 1/3. Find the pitch angles.
A pair of bevel gears is mounted on two intersecting shafts who have a shaft angle of 80°. The gear ratio of the gears is 1/3. Find the pitch angles. Correct Answer 62.76°, 17.24°
θ = 80°, wg/wp = 1/3 tan yg = ((sin θ)/((wg/wp)+cos θ)) = ((sin 80°)/((1/3)+cos 80°)) = 1.94 yg = 62.76° tan yp = ((sin θ)/((wp/wg)+cos θ)) = ((sin 80°)/((3)+cos 80°)) = 0.31 yp = 17.24° We can confirm this by checking that yg + yp = θ = 80°.
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Feb 20, 2025